here, \(A=(A_{\alpha }A_{d})/(A_{\alpha }+A_{d})\)  and constants \(a=0.4314\) , \(b=-0.4087\) , and \(c=-25.7725\)  were obtained by fitting to experimental of both alpha and cluster decays [1]}. The logarithms of the calculated half-lives obtained by VSS, RF, and UDL formulas are presented as \({T^{VSS}_{1/2}}\) , \({T^{RF}_{1/2}}\) , and \({T^{UDL}_{1/2}}\)  in Tab.REF , respectively. The SD values of the calculated half-lives obtained by VSS, RF, and UDL formulas are \(0.704\) , \(0.385\) , and \(0.484\) , respectively. Also, by comparison on SD values of the calculated half-lives obtained by these mentioned phenomenological formulas and those obtained by M3Y and modified DF potentials, one would be clarified that the calculated half-lives within simultaneous kinetic energy modification and alpha preformation factor applications obtained by CFM along with the RF formula are more consistent with the experimental data. Therefore, the role of this modification in the \(\alpha \)  decay studies would be more impressive.
